1/2(6+w)=1/4(w+16)

Solution for 1/2(6+w)=1/4(w+16) equation:

1/2(6+w)=1/4(w+16)

We simplify the equation to the form, which is simple to understand 
1/2(6+w)=1/4(w+16)

Reorder the terms in parentheses
+(+3 + 0.5w)=0.25*(w+16)

Remove unnecessary parentheses
+3 + 0.5w=0.25+*(+w+16+)

Reorder the terms in parentheses
+3 + 0.5w=+( + 0.25w+4)

Remove unnecessary parentheses
+3 + 0.5w=0.25w+4

We move all terms containing w to the left and all other terms to the right. 
 + 0.5w-0.25w=+4-3

We simplify left and right side of the equation. 
 + 0.25w=+1

We divide both sides of the equation by 0.25 to get w. 
w=4